Finding the Third Proportional to 78,805 and 118,288

Step by Step Solution

1. Step 1: Write the proportion equation
   78,805 : 118,288 = 118,288 : x
2. Step 2: Convert to fraction form
   78,805/118,288 = 118,288/x
3. Step 3: Cross multiply
   78,805x = 118,288 × 118,288
4. Step 4: Simplify right side
   78,805x = 13,992,050,944
5. Step 5: Solve for x
   x = 13,992,050,944/78,805
6. Step 6: Final answer
   x = 177,552.83